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Finding the Fourth Proportional to 25,146.65, 37,713.80 and 9,133.56

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Solution

The fourth proportional to 25,146.65, 37,713.80 and 9,133.56 is: 13,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146.65 : 37,713.80 = 9,133.56 : x
  2. Step 2: Convert to fraction form
    25,146.65/37,713.80 = 9,133.56/x
  3. Step 3: Cross multiply
    25,146.65x = 37,713.80 × 9,133.56
  4. Step 4: Simplify right side
    25,146.65x = 344,461,277.96
  5. Step 5: Solve for x
    x = 344,461,277.96/25,146.65
  6. Step 6: Final answer
    x = 13,698.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.